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Digital SAT Diagnostic Practice Quiz

Ten questions evaluating algebra, function modeling, geometry, Desmos tactics, and grammar conventions.

10 questões · デッキ: Digital SAT: Comprehensive Practice (Math & Reading-Writing) · 監修: Ada

問題 1

Line $L$ passes through $(2, 5)$ and $(4, 11)$. What is the slope of a line perpendicular to line $L$?

  1. $-3$
  2. $-\frac{1}{3}$
  3. $\frac{1}{3}$
  4. $3$

問題 2

For what value of $k$ does the equation $x^2 - 6x + k = 0$ have exactly one real solution?

  1. $k = -9$
  2. $k = 0$
  3. $k = 6$
  4. $k = 9$

問題 3

The function $f(x) = -2(x - 3)^2 + 8$ has a maximum value of $M$ at $x = h$. What is $M + h$?

  1. $5$
  2. $8$
  3. $11$
  4. $14$

問題 4

In a right triangle, angle $A$ and angle $B$ are acute angles. If $\sin(A) = \frac{4}{5}$, what is $\cos(B)$?

  1. $\frac{3}{5}$
  2. $\frac{4}{5}$
  3. $\frac{5}{4}$
  4. $\frac{3}{4}$

問題 5

Which choice correctly punctuates the sentence: 'The archival research took three months _____ the final paper took only two weeks to write.'

  1. months, however
  2. months; however,
  3. months however,
  4. months, but,

問題 6

Select the sentence with correct modifier placement:

  1. Having finished the experiment, the results were reviewed by Dr. Chen.
  2. Having finished the experiment, Dr. Chen reviewed the results.
  3. Dr. Chen reviewed the results having finished the experiment by the team.
  4. The results, having finished the experiment, were reviewed by Dr. Chen.

問題 7

A dataset of five quiz scores is $\{80, 82, 85, 88, 90\}$. An errant score of $10$ is recorded by mistake. Which statistic changes by the greatest absolute amount?

  1. The range
  2. The median
  3. The mode
  4. The interquartile range

問題 8

A radioactive isotope has an initial mass of $200\text{ g}$ and decays by $12\%$ every year. Which expression represents the mass after $t$ years?

  1. $200(1.12)^t$
  2. $200(0.88)^t$
  3. $200 - 12t$
  4. $200(0.12)^t$

問題 9

Triangle $PQR$ is similar to triangle $XYZ$. If each side of $XYZ$ is $2.5$ times the length of the corresponding side of $PQR$, the area of $XYZ$ is how many times the area of $PQR$?

  1. $2.5$
  2. $5.0$
  3. $6.25$
  4. $12.5$

問題 10

A circle has radius $6\text{ cm}$. What is the arc length intercepted by a central angle of $\frac{2\pi}{3}$ radians?

  1. $2\pi\text{ cm}$
  2. $4\pi\text{ cm}$
  3. $6\pi\text{ cm}$
  4. $12\pi\text{ cm}$